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Finding the Fourth Proportional to 77,544.91, 116,361.29 and 33,167.71

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Solution

The fourth proportional to 77,544.91, 116,361.29 and 33,167.71 is: 49,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,544.91 : 116,361.29 = 33,167.71 : x
  2. Step 2: Convert to fraction form
    77,544.91/116,361.29 = 33,167.71/x
  3. Step 3: Cross multiply
    77,544.91x = 116,361.29 × 33,167.71
  4. Step 4: Simplify right side
    77,544.91x = 3,859,437,521.95
  5. Step 5: Solve for x
    x = 3,859,437,521.95/77,544.91
  6. Step 6: Final answer
    x = 49,770.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.